Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras

Volume 10, Issue 2, pp 465--482 http://dx.doi.org/10.22436/jnsa.010.02.12

Publication Date: February 20, 2017 Submission Date: June 25, 2016

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Authors

Binghua Jiang - School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China. Zelin Cai - School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China. Jinyang Chen - School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China. Huaping Huang - School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China.

Abstract

In this paper, based on the concept of cone b-metric space over Banach algebra, which was introduced by Huang and Radenovic [H.-P. Huang, S. Radenović, J. Nonlinear Sci. Appl., 8 (2015), 787–799], we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces. We consider the obtained assertions without the assumption of normality of cones. The presented results generalize some coupled common fixed point theorems in the existing literature.

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Keywords

• Tripled random fixed point
• tripled random coincidence point
• cone b-metric space over Banach algebra
• generalized Lipschitz constant
• tripled common random fixed point.

MSC

•  54H25
•  47H10
•  54E50

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